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202001220100002 = 231941931338539
BaseRepresentation
bin101101111011100000010010…
…111101111101111110100010
3222111020010110100022102002110
4231323200102331331332202
5202434041444321200002
61553342025053300150
760356051354434461
oct5573402275757642
9874203410272073
10202001220100002
1159400266649344
121a7a5233a94656
1388938305344cb
1437c4ca85569d8
1518547ae227e6c
hexb7b812f7dfa2

202001220100002 has 80 divisors (see below), whose sum is σ = 428656737388320. Its totient is φ = 63459294165504.

The previous prime is 202001220099977. The next prime is 202001220100033. The reversal of 202001220100002 is 200001022100202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150242449 + ... + 151580987.

It is an arithmetic number, because the mean of its divisors is an integer number (5358209217354).

Almost surely, 2202001220100002 is an apocalyptic number.

202001220100002 is an abundant number, since it is smaller than the sum of its proper divisors (226655517288318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202001220100002 is an equidigital number, since it uses as much as digits as its factorization.

202001220100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338813 (or 1338756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202001220100002 its reverse (200001022100202), we get a palindrome (402002242200204).

The spelling of 202001220100002 in words is "two hundred two trillion, one billion, two hundred twenty million, one hundred thousand, two".

Divisors: 1 2 3 6 19 38 57 114 193 361 386 579 722 1083 1158 2166 3667 6859 7334 11001 13718 20577 22002 41154 69673 130321 139346 209019 260642 390963 418038 781926 1323787 1338539 2647574 2677078 3971361 4015617 7942722 8031234 25151953 25432241 50303906 50864482 75455859 76296723 150911718 152593446 258338027 483212579 516676054 775014081 966425158 1449637737 1550028162 2899275474 4908422513 9181039001 9816845026 14725267539 18362078002 27543117003 29450535078 55086234006 93260027747 174439741019 186520055494 279780083241 348879482038 523319223057 559560166482 1046638446114 1771940527193 3543881054386 5315821581579 10631643163158 33666870016667 67333740033334 101000610050001 202001220100002